TSTP Solution File: SET858-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET858-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:25:56 EDT 2022
% Result : Unsatisfiable 9.78s 1.66s
% Output : Refutation 9.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 183
% Syntax : Number of formulae : 363 ( 130 unt; 0 def)
% Number of atoms : 793 ( 45 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 687 ( 257 ~; 319 |; 0 &)
% ( 111 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 147 ( 145 usr; 112 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 18 con; 0-3 aty)
% Number of variables : 71 ( 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2029,plain,
$false,
inference(avatar_smt_refutation,[],[f1373,f1378,f1383,f1388,f1393,f1398,f1403,f1408,f1413,f1418,f1423,f1428,f1433,f1438,f1443,f1448,f1453,f1458,f1463,f1468,f1473,f1478,f1483,f1488,f1489,f1494,f1499,f1504,f1509,f1514,f1519,f1524,f1529,f1534,f1539,f1544,f1549,f1554,f1559,f1564,f1569,f1574,f1579,f1584,f1589,f1594,f1599,f1604,f1609,f1614,f1619,f1624,f1629,f1634,f1639,f1640,f1645,f1650,f1655,f1660,f1665,f1671,f1676,f1681,f1696,f1704,f1711,f1716,f1728,f1733,f1746,f1750,f1757,f1771,f1776,f1785,f1802,f1806,f1819,f1823,f1838,f1847,f1856,f1870,f1875,f1891,f1895,f1904,f1905,f1917,f1925,f1930,f1931,f1945,f1949,f1954,f1971,f1975,f1976,f1977,f1980,f1983,f1984,f2009,f2014,f2019,f2024,f2028]) ).
fof(f2028,plain,
( spl0_64
| ~ spl0_47
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f2027,f1722,f1601,f1694]) ).
fof(f1694,plain,
( spl0_64
<=> ! [X1] :
( c_lessequals(X1,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X1,tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f1601,plain,
( spl0_47
<=> c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f1722,plain,
( spl0_69
<=> v_m = c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f2027,plain,
( ! [X1] :
( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X1,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X1,v_m,tc_set(tc_set(t_a))) )
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f2026]) ).
fof(f2026,plain,
( ! [X1] :
( c_lessequals(X1,v_m,tc_set(tc_set(t_a)))
| v_m != v_m
| ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X1,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) )
| ~ spl0_69 ),
inference(superposition,[],[f1362,f1724]) ).
fof(f1724,plain,
( v_m = c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a)
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f1722]) ).
fof(f1362,axiom,
! [X40,X2,X18,X12] :
( c_Zorn_OTFin__linear__lemma1__1(X40,X12,X2) != X12
| ~ c_in(X12,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X40,X12,X2),X18,tc_set(tc_set(X2)))
| ~ c_in(X18,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| c_lessequals(X18,X12,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_2) ).
fof(f2024,plain,
( ~ spl0_111
| ~ spl0_69
| spl0_92 ),
inference(avatar_split_clause,[],[f1999,f1884,f1722,f2021]) ).
fof(f2021,plain,
( spl0_111
<=> v_m = v_n ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f1884,plain,
( spl0_92
<=> v_n = c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f1999,plain,
( v_m != v_n
| ~ spl0_69
| spl0_92 ),
inference(backward_demodulation,[],[f1885,f1724]) ).
fof(f1885,plain,
( v_n != c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a)
| spl0_92 ),
inference(avatar_component_clause,[],[f1884]) ).
fof(f2019,plain,
( ~ spl0_110
| ~ spl0_69
| spl0_105 ),
inference(avatar_split_clause,[],[f2003,f1964,f1722,f2016]) ).
fof(f2016,plain,
( spl0_110
<=> v_m = c_Zorn_Osucc(v_S,v_m,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f1964,plain,
( spl0_105
<=> v_m = c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f2003,plain,
( v_m != c_Zorn_Osucc(v_S,v_m,t_a)
| ~ spl0_69
| spl0_105 ),
inference(backward_demodulation,[],[f1965,f1724]) ).
fof(f1965,plain,
( v_m != c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a)
| spl0_105 ),
inference(avatar_component_clause,[],[f1964]) ).
fof(f2014,plain,
( ~ spl0_109
| ~ spl0_69
| spl0_106 ),
inference(avatar_split_clause,[],[f2004,f1968,f1722,f2011]) ).
fof(f2011,plain,
( spl0_109
<=> c_lessequals(v_m,c_Zorn_Osucc(v_S,v_m,t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f1968,plain,
( spl0_106
<=> c_lessequals(v_m,c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f2004,plain,
( ~ c_lessequals(v_m,c_Zorn_Osucc(v_S,v_m,t_a),tc_set(tc_set(t_a)))
| ~ spl0_69
| spl0_106 ),
inference(backward_demodulation,[],[f1970,f1724]) ).
fof(f1970,plain,
( ~ c_lessequals(v_m,c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),tc_set(tc_set(t_a)))
| spl0_106 ),
inference(avatar_component_clause,[],[f1968]) ).
fof(f2009,plain,
( ~ spl0_108
| ~ spl0_69
| spl0_86 ),
inference(avatar_split_clause,[],[f1996,f1844,f1722,f2006]) ).
fof(f2006,plain,
( spl0_108
<=> c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f1844,plain,
( spl0_86
<=> c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),v_m,tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f1996,plain,
( ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a)))
| ~ spl0_69
| spl0_86 ),
inference(backward_demodulation,[],[f1845,f1724]) ).
fof(f1845,plain,
( ~ c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),v_m,tc_set(tc_set(t_a)))
| spl0_86 ),
inference(avatar_component_clause,[],[f1844]) ).
fof(f1984,plain,
( spl0_69
| ~ spl0_71
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f1760,f1690,f1730,f1722]) ).
fof(f1730,plain,
( spl0_71
<=> c_lessequals(v_m,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f1690,plain,
( spl0_63
<=> c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f1760,plain,
( ~ c_lessequals(v_m,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),tc_set(tc_set(t_a)))
| v_m = c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a)
| ~ spl0_63 ),
inference(resolution,[],[f1692,f309]) ).
fof(f309,axiom,
! [X2,X15,X13] :
( ~ c_lessequals(X15,X13,tc_set(X2))
| ~ c_lessequals(X13,X15,tc_set(X2))
| X13 = X15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f1692,plain,
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a)))
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f1690]) ).
fof(f1983,plain,
( spl0_87
| ~ spl0_97
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f1982,f1938,f1914,f1849]) ).
fof(f1849,plain,
( spl0_87
<=> c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f1914,plain,
( spl0_97
<=> c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f1938,plain,
( spl0_101
<=> c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a) = c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f1982,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),tc_set(tc_set(t_a)))
| ~ spl0_97
| ~ spl0_101 ),
inference(forward_demodulation,[],[f1916,f1940]) ).
fof(f1940,plain,
( c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a) = c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a)
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f1938]) ).
fof(f1916,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),tc_set(tc_set(t_a)))
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f1914]) ).
fof(f1980,plain,
( ~ spl0_88
| spl0_96
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f1978,f1938,f1910,f1853]) ).
fof(f1853,plain,
( spl0_88
<=> c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),v_n,tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f1910,plain,
( spl0_96
<=> c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),v_n,tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f1978,plain,
( ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),v_n,tc_set(tc_set(t_a)))
| spl0_96
| ~ spl0_101 ),
inference(backward_demodulation,[],[f1911,f1940]) ).
fof(f1911,plain,
( ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),v_n,tc_set(tc_set(t_a)))
| spl0_96 ),
inference(avatar_component_clause,[],[f1910]) ).
fof(f1977,plain,
( spl0_69
| spl0_70
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f1758,f1690,f1726,f1722]) ).
fof(f1726,plain,
( spl0_70
<=> ! [X0] :
( ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),v_m,tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f1758,plain,
( ! [X0] :
( ~ c_in(v_m,c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),v_m,tc_set(tc_set(t_a)))
| v_m = c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a)
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a))) )
| ~ spl0_63 ),
inference(resolution,[],[f1692,f1364]) ).
fof(f1364,axiom,
! [X2,X40,X41,X12] :
( ~ c_lessequals(X41,X12,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X40,X41,X2),X12,tc_set(tc_set(X2)))
| X12 = X41
| ~ c_in(X12,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| ~ c_in(X41,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma2_0) ).
fof(f1976,plain,
( ~ spl0_47
| spl0_64
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1958,f1844,f1694,f1601]) ).
fof(f1958,plain,
( ! [X0] :
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) )
| ~ spl0_86 ),
inference(resolution,[],[f1846,f1363]) ).
fof(f1363,axiom,
! [X40,X2,X18,X12] :
( ~ c_lessequals(c_Zorn_Osucc(X40,c_Zorn_OTFin__linear__lemma1__1(X40,X12,X2),X2),X12,tc_set(tc_set(X2)))
| ~ c_in(X12,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| ~ c_in(X18,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| c_lessequals(X18,X12,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X40,X12,X2),X18,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_3) ).
fof(f1846,plain,
( c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),v_m,tc_set(tc_set(t_a)))
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f1844]) ).
fof(f1975,plain,
( spl0_107
| spl0_105
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1959,f1844,f1964,f1973]) ).
fof(f1973,plain,
( spl0_107
<=> ! [X1] :
( ~ c_in(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(X1,c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),t_a),v_m,tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f1959,plain,
( ! [X1] :
( v_m = c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a)
| ~ c_in(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(X1,c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),t_a),v_m,tc_set(tc_set(t_a))) )
| ~ spl0_86 ),
inference(resolution,[],[f1846,f1364]) ).
fof(f1971,plain,
( spl0_105
| ~ spl0_106
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1961,f1844,f1968,f1964]) ).
fof(f1961,plain,
( ~ c_lessequals(v_m,c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),tc_set(tc_set(t_a)))
| v_m = c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a)
| ~ spl0_86 ),
inference(resolution,[],[f1846,f309]) ).
fof(f1954,plain,
( spl0_104
| ~ spl0_63
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f1932,f1765,f1690,f1951]) ).
fof(f1951,plain,
( spl0_104
<=> c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),v_m,tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f1765,plain,
( spl0_76
<=> c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f1932,plain,
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),v_m,tc_set(tc_set(t_a)))
| ~ spl0_63
| ~ spl0_76 ),
inference(resolution,[],[f1767,f1759]) ).
fof(f1759,plain,
( ! [X1] :
( ~ c_lessequals(X1,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X1,v_m,tc_set(tc_set(t_a))) )
| ~ spl0_63 ),
inference(resolution,[],[f1692,f1358]) ).
fof(f1358,axiom,
! [X2,X36,X15,X13] :
( ~ c_lessequals(X15,X36,tc_set(X2))
| ~ c_lessequals(X13,X15,tc_set(X2))
| c_lessequals(X13,X36,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).
fof(f1767,plain,
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),tc_set(tc_set(t_a)))
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f1765]) ).
fof(f1949,plain,
( spl0_101
| spl0_103
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f1933,f1765,f1947,f1938]) ).
fof(f1947,plain,
( spl0_103
<=> ! [X0] :
( ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),t_a),c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f1933,plain,
( ! [X0] :
( ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),t_a),c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a)))
| c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a) = c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a) )
| ~ spl0_76 ),
inference(resolution,[],[f1767,f1364]) ).
fof(f1945,plain,
( spl0_101
| ~ spl0_102
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f1935,f1765,f1942,f1938]) ).
fof(f1942,plain,
( spl0_102
<=> c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f1935,plain,
( ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),tc_set(tc_set(t_a)))
| c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a) = c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a)
| ~ spl0_76 ),
inference(resolution,[],[f1767,f309]) ).
fof(f1931,plain,
( spl0_78
| spl0_77
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f1841,f1708,f1769,f1773]) ).
fof(f1773,plain,
( spl0_78
<=> c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f1769,plain,
( spl0_77
<=> ! [X1] :
( c_lessequals(X1,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),X1,tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f1708,plain,
( spl0_67
<=> c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f1841,plain,
( ! [X0] :
( c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),X0,tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),tc_set(tc_set(t_a))) )
| ~ spl0_67 ),
inference(resolution,[],[f1710,f1360]) ).
fof(f1360,axiom,
! [X40,X2,X18,X12] :
( ~ c_in(X12,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X40,X12,X2),c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| ~ c_in(X18,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X40,X12,X2),X18,tc_set(tc_set(X2)))
| c_lessequals(X18,X12,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_0) ).
fof(f1710,plain,
( c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f1708]) ).
fof(f1930,plain,
( spl0_100
| spl0_99
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1907,f1773,f1923,f1927]) ).
fof(f1927,plain,
( spl0_100
<=> c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f1923,plain,
( spl0_99
<=> ! [X1] :
( c_lessequals(X1,c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),t_a),X1,tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f1907,plain,
( ! [X0] :
( c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),t_a),X0,tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) )
| ~ spl0_78 ),
inference(resolution,[],[f1775,f1360]) ).
fof(f1775,plain,
( c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f1773]) ).
fof(f1925,plain,
( spl0_98
| spl0_99
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1908,f1773,f1923,f1919]) ).
fof(f1919,plain,
( spl0_98
<=> c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),t_a),c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f1908,plain,
( ! [X1] :
( c_lessequals(X1,c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),t_a),X1,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),t_a),c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),tc_set(tc_set(t_a))) )
| ~ spl0_78 ),
inference(resolution,[],[f1775,f1361]) ).
fof(f1361,axiom,
! [X40,X2,X18,X12] :
( ~ c_in(X12,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| c_lessequals(X18,X12,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X40,X12,X2),X12,tc_set(tc_set(X2)))
| ~ c_in(X18,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X40,X12,X2),X18,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_1) ).
fof(f1917,plain,
( spl0_96
| spl0_97
| ~ spl0_66
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1906,f1773,f1702,f1914,f1910]) ).
fof(f1702,plain,
( spl0_66
<=> ! [X0] :
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_n,tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f1906,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),v_n,tc_set(tc_set(t_a)))
| ~ spl0_66
| ~ spl0_78 ),
inference(resolution,[],[f1775,f1703]) ).
fof(f1703,plain,
( ! [X0] :
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_n,tc_set(tc_set(t_a))) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f1702]) ).
fof(f1905,plain,
( spl0_76
| spl0_77
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f1842,f1708,f1769,f1765]) ).
fof(f1842,plain,
( ! [X1] :
( c_lessequals(X1,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),X1,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) )
| ~ spl0_67 ),
inference(resolution,[],[f1710,f1361]) ).
fof(f1904,plain,
( spl0_95
| spl0_93
| ~ spl0_8
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f1897,f1769,f1405,f1888,f1901]) ).
fof(f1901,plain,
( spl0_95
<=> c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),v_n,tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f1888,plain,
( spl0_93
<=> c_lessequals(v_n,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f1405,plain,
( spl0_8
<=> c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1897,plain,
( c_lessequals(v_n,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),v_n,tc_set(tc_set(t_a)))
| ~ spl0_8
| ~ spl0_77 ),
inference(resolution,[],[f1770,f1407]) ).
fof(f1407,plain,
( c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f1405]) ).
fof(f1770,plain,
( ! [X1] :
( ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X1,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),X1,tc_set(tc_set(t_a))) )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f1769]) ).
fof(f1895,plain,
( spl0_92
| spl0_94
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f1879,f1853,f1893,f1884]) ).
fof(f1893,plain,
( spl0_94
<=> ! [X0] :
( ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),v_n,tc_set(tc_set(t_a)))
| ~ c_in(v_n,c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f1879,plain,
( ! [X0] :
( ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_n,c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a)))
| v_n = c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a)
| c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),v_n,tc_set(tc_set(t_a))) )
| ~ spl0_88 ),
inference(resolution,[],[f1855,f1364]) ).
fof(f1855,plain,
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),v_n,tc_set(tc_set(t_a)))
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f1853]) ).
fof(f1891,plain,
( spl0_92
| ~ spl0_93
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f1881,f1853,f1888,f1884]) ).
fof(f1881,plain,
( ~ c_lessequals(v_n,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),tc_set(tc_set(t_a)))
| v_n = c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a)
| ~ spl0_88 ),
inference(resolution,[],[f1855,f309]) ).
fof(f1875,plain,
( spl0_91
| spl0_89
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f1862,f1713,f1864,f1872]) ).
fof(f1872,plain,
( spl0_91
<=> c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),t_a),c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f1864,plain,
( spl0_89
<=> ! [X0] :
( c_lessequals(X0,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),t_a),X0,tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f1713,plain,
( spl0_68
<=> c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f1862,plain,
( ! [X1] :
( ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),t_a),X1,tc_set(tc_set(t_a)))
| c_lessequals(X1,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),t_a),c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),tc_set(tc_set(t_a))) )
| ~ spl0_68 ),
inference(resolution,[],[f1715,f1361]) ).
fof(f1715,plain,
( c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f1713]) ).
fof(f1870,plain,
( spl0_89
| spl0_90
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f1861,f1713,f1867,f1864]) ).
fof(f1867,plain,
( spl0_90
<=> c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f1861,plain,
( ! [X0] :
( c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) )
| ~ spl0_68 ),
inference(resolution,[],[f1715,f1360]) ).
fof(f1856,plain,
( spl0_87
| spl0_88
| ~ spl0_66
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f1840,f1708,f1702,f1853,f1849]) ).
fof(f1840,plain,
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),v_n,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),tc_set(tc_set(t_a)))
| ~ spl0_66
| ~ spl0_67 ),
inference(resolution,[],[f1710,f1703]) ).
fof(f1847,plain,
( spl0_86
| ~ spl0_47
| ~ spl0_67
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f1839,f1726,f1708,f1601,f1844]) ).
fof(f1839,plain,
( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),v_m,tc_set(tc_set(t_a)))
| ~ spl0_67
| ~ spl0_70 ),
inference(resolution,[],[f1710,f1727]) ).
fof(f1727,plain,
( ! [X0] :
( ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),v_m,tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a))) )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f1726]) ).
fof(f1838,plain,
( spl0_38
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f1835,f1754,f1556]) ).
fof(f1556,plain,
( spl0_38
<=> c_lessequals(v_m,v_n,tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f1754,plain,
( spl0_75
<=> c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_n,tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f1835,plain,
( c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))
| ~ spl0_75 ),
inference(resolution,[],[f1791,f1359]) ).
fof(f1359,axiom,
! [X40,X2,X0] : c_lessequals(X0,c_Zorn_Osucc(X40,X0,X2),tc_set(tc_set(X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).
fof(f1791,plain,
( ! [X1] :
( ~ c_lessequals(X1,c_Zorn_Osucc(v_S,v_m,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X1,v_n,tc_set(tc_set(t_a))) )
| ~ spl0_75 ),
inference(resolution,[],[f1756,f1358]) ).
fof(f1756,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_n,tc_set(tc_set(t_a)))
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f1754]) ).
fof(f1823,plain,
( spl0_84
| spl0_85
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1807,f1782,f1821,f1816]) ).
fof(f1816,plain,
( spl0_84
<=> v_m = c_Zorn_Osucc(v_S,v_n,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f1821,plain,
( spl0_85
<=> ! [X0] :
( ~ c_in(v_m,c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(v_S,v_n,t_a),t_a),v_m,tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(v_S,v_n,t_a),c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f1782,plain,
( spl0_79
<=> c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f1807,plain,
( ! [X0] :
( ~ c_in(v_m,c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a)))
| v_m = c_Zorn_Osucc(v_S,v_n,t_a)
| ~ c_in(c_Zorn_Osucc(v_S,v_n,t_a),c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(v_S,v_n,t_a),t_a),v_m,tc_set(tc_set(t_a))) )
| ~ spl0_79 ),
inference(resolution,[],[f1784,f1364]) ).
fof(f1784,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f1782]) ).
fof(f1819,plain,
( ~ spl0_83
| spl0_84
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1809,f1782,f1816,f1812]) ).
fof(f1812,plain,
( spl0_83
<=> c_lessequals(v_m,c_Zorn_Osucc(v_S,v_n,t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f1809,plain,
( v_m = c_Zorn_Osucc(v_S,v_n,t_a)
| ~ c_lessequals(v_m,c_Zorn_Osucc(v_S,v_n,t_a),tc_set(tc_set(t_a)))
| ~ spl0_79 ),
inference(resolution,[],[f1784,f309]) ).
fof(f1806,plain,
( spl0_81
| spl0_82
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f1790,f1754,f1804,f1799]) ).
fof(f1799,plain,
( spl0_81
<=> v_n = c_Zorn_Osucc(v_S,v_m,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f1804,plain,
( spl0_82
<=> ! [X0] :
( ~ c_in(v_n,c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(v_S,v_m,t_a),t_a),v_n,tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f1790,plain,
( ! [X0] :
( ~ c_in(v_n,c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a)))
| v_n = c_Zorn_Osucc(v_S,v_m,t_a)
| c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(v_S,v_m,t_a),t_a),v_n,tc_set(tc_set(t_a))) )
| ~ spl0_75 ),
inference(resolution,[],[f1756,f1364]) ).
fof(f1802,plain,
( ~ spl0_80
| spl0_81
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f1792,f1754,f1799,f1795]) ).
fof(f1795,plain,
( spl0_80
<=> c_lessequals(v_n,c_Zorn_Osucc(v_S,v_m,t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f1792,plain,
( v_n = c_Zorn_Osucc(v_S,v_m,t_a)
| ~ c_lessequals(v_n,c_Zorn_Osucc(v_S,v_m,t_a),tc_set(tc_set(t_a)))
| ~ spl0_75 ),
inference(resolution,[],[f1756,f309]) ).
fof(f1785,plain,
( spl0_79
| spl0_38
| ~ spl0_47
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f1780,f1702,f1601,f1556,f1782]) ).
fof(f1780,plain,
( c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))
| ~ spl0_47
| ~ spl0_66 ),
inference(resolution,[],[f1703,f1603]) ).
fof(f1603,plain,
( c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f1601]) ).
fof(f1776,plain,
( spl0_78
| spl0_77
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f1762,f1708,f1769,f1773]) ).
fof(f1762,plain,
( ! [X0] :
( c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) )
| ~ spl0_67 ),
inference(resolution,[],[f1710,f1360]) ).
fof(f1771,plain,
( spl0_76
| spl0_77
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f1763,f1708,f1769,f1765]) ).
fof(f1763,plain,
( ! [X1] :
( c_lessequals(X1,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),X1,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) )
| ~ spl0_67 ),
inference(resolution,[],[f1710,f1361]) ).
fof(f1757,plain,
( spl0_75
| spl0_61
| ~ spl0_8
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f1751,f1694,f1405,f1673,f1754]) ).
fof(f1673,plain,
( spl0_61
<=> c_lessequals(v_n,v_m,tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f1751,plain,
( c_lessequals(v_n,v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_n,tc_set(tc_set(t_a)))
| ~ spl0_8
| ~ spl0_64 ),
inference(resolution,[],[f1695,f1407]) ).
fof(f1695,plain,
( ! [X1] :
( ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X1,v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X1,tc_set(tc_set(t_a))) )
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f1694]) ).
fof(f1750,plain,
( spl0_74
| spl0_73
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f1734,f1698,f1743,f1748]) ).
fof(f1748,plain,
( spl0_74
<=> ! [X0] :
( ~ c_in(v_n,c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),t_a),v_n,tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f1743,plain,
( spl0_73
<=> v_n = c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f1698,plain,
( spl0_65
<=> c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_n,tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f1734,plain,
( ! [X0] :
( v_n = c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a)
| ~ c_in(v_n,c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),t_a),v_n,tc_set(tc_set(t_a))) )
| ~ spl0_65 ),
inference(resolution,[],[f1700,f1364]) ).
fof(f1700,plain,
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_n,tc_set(tc_set(t_a)))
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f1698]) ).
fof(f1746,plain,
( ~ spl0_72
| spl0_73
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f1736,f1698,f1743,f1739]) ).
fof(f1739,plain,
( spl0_72
<=> c_lessequals(v_n,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f1736,plain,
( v_n = c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a)
| ~ c_lessequals(v_n,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),tc_set(tc_set(t_a)))
| ~ spl0_65 ),
inference(resolution,[],[f1700,f309]) ).
fof(f1733,plain,
( spl0_69
| ~ spl0_71
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f1719,f1690,f1730,f1722]) ).
fof(f1719,plain,
( ~ c_lessequals(v_m,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),tc_set(tc_set(t_a)))
| v_m = c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a)
| ~ spl0_63 ),
inference(resolution,[],[f1692,f309]) ).
fof(f1728,plain,
( spl0_69
| spl0_70
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f1717,f1690,f1726,f1722]) ).
fof(f1717,plain,
( ! [X0] :
( ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a)))
| v_m = c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a)
| c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),v_m,tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a))) )
| ~ spl0_63 ),
inference(resolution,[],[f1692,f1364]) ).
fof(f1716,plain,
( spl0_68
| spl0_66
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1705,f1405,f1702,f1713]) ).
fof(f1705,plain,
( ! [X0] :
( c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_n,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) )
| ~ spl0_8 ),
inference(resolution,[],[f1360,f1407]) ).
fof(f1711,plain,
( spl0_67
| spl0_64
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f1706,f1601,f1694,f1708]) ).
fof(f1706,plain,
( ! [X1] :
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X1,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X1,v_m,tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) )
| ~ spl0_47 ),
inference(resolution,[],[f1360,f1603]) ).
fof(f1704,plain,
( spl0_65
| spl0_66
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1687,f1405,f1702,f1698]) ).
fof(f1687,plain,
( ! [X0] :
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_n,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_n,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),X0,tc_set(tc_set(t_a))) )
| ~ spl0_8 ),
inference(resolution,[],[f1361,f1407]) ).
fof(f1696,plain,
( spl0_63
| spl0_64
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f1688,f1601,f1694,f1690]) ).
fof(f1688,plain,
( ! [X1] :
( c_lessequals(X1,v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X1,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) )
| ~ spl0_47 ),
inference(resolution,[],[f1361,f1603]) ).
fof(f1681,plain,
spl0_62,
inference(avatar_split_clause,[],[f427,f1678]) ).
fof(f1678,plain,
( spl0_62
<=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f427,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_37) ).
fof(f1676,plain,
~ spl0_61,
inference(avatar_split_clause,[],[f1367,f1673]) ).
fof(f1367,axiom,
~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1671,plain,
spl0_60,
inference(avatar_split_clause,[],[f358,f1668]) ).
fof(f1668,plain,
( spl0_60
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f358,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_37) ).
fof(f1665,plain,
spl0_59,
inference(avatar_split_clause,[],[f393,f1662]) ).
fof(f1662,plain,
( spl0_59
<=> class_Finite__Set_Ofinite(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f393,axiom,
class_Finite__Set_Ofinite(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool_0) ).
fof(f1660,plain,
spl0_58,
inference(avatar_split_clause,[],[f371,f1657]) ).
fof(f1657,plain,
( spl0_58
<=> class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f371,axiom,
class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_49) ).
fof(f1655,plain,
spl0_57,
inference(avatar_split_clause,[],[f372,f1652]) ).
fof(f1652,plain,
( spl0_57
<=> class_Orderings_Oord(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f372,axiom,
class_Orderings_Oord(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_5) ).
fof(f1650,plain,
spl0_56,
inference(avatar_split_clause,[],[f426,f1647]) ).
fof(f1647,plain,
( spl0_56
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f426,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_36) ).
fof(f1645,plain,
spl0_55,
inference(avatar_split_clause,[],[f360,f1642]) ).
fof(f1642,plain,
( spl0_55
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f360,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_39) ).
fof(f1640,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f122,f1375]) ).
fof(f1375,plain,
( spl0_2
<=> c_Numeral_Obit_OB0 = c_Numeral_Obit_OB1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f122,axiom,
c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__2__iff1_0) ).
fof(f1639,plain,
spl0_54,
inference(avatar_split_clause,[],[f357,f1636]) ).
fof(f1636,plain,
( spl0_54
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f357,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_36) ).
fof(f1634,plain,
spl0_53,
inference(avatar_split_clause,[],[f431,f1631]) ).
fof(f1631,plain,
( spl0_53
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f431,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_40) ).
fof(f1629,plain,
spl0_52,
inference(avatar_split_clause,[],[f408,f1626]) ).
fof(f1626,plain,
( spl0_52
<=> class_Orderings_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f408,axiom,
class_Orderings_Oord(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_2) ).
fof(f1624,plain,
spl0_51,
inference(avatar_split_clause,[],[f424,f1621]) ).
fof(f1621,plain,
( spl0_51
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f424,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_34) ).
fof(f1619,plain,
spl0_50,
inference(avatar_split_clause,[],[f433,f1616]) ).
fof(f1616,plain,
( spl0_50
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f433,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_42) ).
fof(f1614,plain,
spl0_49,
inference(avatar_split_clause,[],[f362,f1611]) ).
fof(f1611,plain,
( spl0_49
<=> class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f362,axiom,
class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_40) ).
fof(f1609,plain,
spl0_48,
inference(avatar_split_clause,[],[f324,f1606]) ).
fof(f1606,plain,
( spl0_48
<=> c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f324,axiom,
c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__less__than_0) ).
fof(f1604,plain,
spl0_47,
inference(avatar_split_clause,[],[f1365,f1601]) ).
fof(f1365,axiom,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1599,plain,
spl0_46,
inference(avatar_split_clause,[],[f367,f1596]) ).
fof(f1596,plain,
( spl0_46
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f367,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_45) ).
fof(f1594,plain,
~ spl0_45,
inference(avatar_split_clause,[],[f166,f1591]) ).
fof(f1591,plain,
( spl0_45
<=> c_emptyset = c_UNIV ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f166,axiom,
c_emptyset != c_UNIV,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUNIV__not__empty__iff1_0) ).
fof(f1589,plain,
spl0_44,
inference(avatar_split_clause,[],[f354,f1586]) ).
fof(f1586,plain,
( spl0_44
<=> class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f354,axiom,
class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_33) ).
fof(f1584,plain,
spl0_43,
inference(avatar_split_clause,[],[f432,f1581]) ).
fof(f1581,plain,
( spl0_43
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f432,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_41) ).
fof(f1579,plain,
~ spl0_42,
inference(avatar_split_clause,[],[f43,f1576]) ).
fof(f1576,plain,
( spl0_42
<=> c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f43,axiom,
~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Infinite__Set_Onat__not__finite_0) ).
fof(f1574,plain,
spl0_41,
inference(avatar_split_clause,[],[f439,f1571]) ).
fof(f1571,plain,
( spl0_41
<=> class_LOrder_Ojoin__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f439,axiom,
class_LOrder_Ojoin__semilorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_5) ).
fof(f1569,plain,
spl0_40,
inference(avatar_split_clause,[],[f353,f1566]) ).
fof(f1566,plain,
( spl0_40
<=> class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f353,axiom,
class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_32) ).
fof(f1564,plain,
spl0_39,
inference(avatar_split_clause,[],[f428,f1561]) ).
fof(f1561,plain,
( spl0_39
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f428,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_38) ).
fof(f1559,plain,
~ spl0_38,
inference(avatar_split_clause,[],[f1368,f1556]) ).
fof(f1368,axiom,
~ c_lessequals(v_m,v_n,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1554,plain,
spl0_37,
inference(avatar_split_clause,[],[f115,f1551]) ).
fof(f1551,plain,
( spl0_37
<=> c_less(c_0,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f115,axiom,
c_less(c_0,c_1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__one__iff2_0) ).
fof(f1549,plain,
spl0_36,
inference(avatar_split_clause,[],[f375,f1546]) ).
fof(f1546,plain,
( spl0_36
<=> class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f375,axiom,
class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_52) ).
fof(f1544,plain,
spl0_35,
inference(avatar_split_clause,[],[f109,f1541]) ).
fof(f1541,plain,
( spl0_35
<=> c_0 = c_plus(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f109,axiom,
c_0 = c_plus(c_0,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff2_0) ).
fof(f1539,plain,
spl0_34,
inference(avatar_split_clause,[],[f429,f1536]) ).
fof(f1536,plain,
( spl0_34
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f429,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_39) ).
fof(f1534,plain,
spl0_33,
inference(avatar_split_clause,[],[f356,f1531]) ).
fof(f1531,plain,
( spl0_33
<=> class_Orderings_Olinorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f356,axiom,
class_Orderings_Olinorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_35) ).
fof(f1529,plain,
~ spl0_32,
inference(avatar_split_clause,[],[f117,f1526]) ).
fof(f1526,plain,
( spl0_32
<=> c_less(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f117,axiom,
~ c_less(c_0,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oneq0__conv__iff2_0) ).
fof(f1524,plain,
spl0_31,
inference(avatar_split_clause,[],[f369,f1521]) ).
fof(f1521,plain,
( spl0_31
<=> class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f369,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_47) ).
fof(f1519,plain,
spl0_30,
inference(avatar_split_clause,[],[f434,f1516]) ).
fof(f1516,plain,
( spl0_30
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f434,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_43) ).
fof(f1514,plain,
spl0_29,
inference(avatar_split_clause,[],[f374,f1511]) ).
fof(f1511,plain,
( spl0_29
<=> class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f374,axiom,
class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_51) ).
fof(f1509,plain,
spl0_28,
inference(avatar_split_clause,[],[f373,f1506]) ).
fof(f1506,plain,
( spl0_28
<=> class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f373,axiom,
class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_50) ).
fof(f1504,plain,
spl0_27,
inference(avatar_split_clause,[],[f378,f1501]) ).
fof(f1501,plain,
( spl0_27
<=> class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f378,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_55) ).
fof(f1499,plain,
spl0_26,
inference(avatar_split_clause,[],[f440,f1496]) ).
fof(f1496,plain,
( spl0_26
<=> class_LOrder_Olorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f440,axiom,
class_LOrder_Olorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_6) ).
fof(f1494,plain,
spl0_25,
inference(avatar_split_clause,[],[f352,f1491]) ).
fof(f1491,plain,
( spl0_25
<=> class_Orderings_Oorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f352,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
fof(f1489,plain,
~ spl0_6,
inference(avatar_split_clause,[],[f29,f1395]) ).
fof(f1395,plain,
( spl0_6
<=> c_Extraction_Osumbool_OLeft = c_Extraction_Osumbool_ORight ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f29,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__1__iff1_0) ).
fof(f1488,plain,
spl0_24,
inference(avatar_split_clause,[],[f370,f1485]) ).
fof(f1485,plain,
( spl0_24
<=> class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f370,axiom,
class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_48) ).
fof(f1483,plain,
spl0_23,
inference(avatar_split_clause,[],[f425,f1480]) ).
fof(f1480,plain,
( spl0_23
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f425,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_35) ).
fof(f1478,plain,
spl0_22,
inference(avatar_split_clause,[],[f419,f1475]) ).
fof(f1475,plain,
( spl0_22
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f419,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_3) ).
fof(f1473,plain,
spl0_21,
inference(avatar_split_clause,[],[f111,f1470]) ).
fof(f1470,plain,
( spl0_21
<=> c_lessequals(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f111,axiom,
c_lessequals(c_0,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole__0__eq__iff2_0) ).
fof(f1468,plain,
spl0_20,
inference(avatar_split_clause,[],[f322,f1465]) ).
fof(f1465,plain,
( spl0_20
<=> c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f322,axiom,
c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Otrans__less__than_0) ).
fof(f1463,plain,
spl0_19,
inference(avatar_split_clause,[],[f381,f1460]) ).
fof(f1460,plain,
( spl0_19
<=> class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f381,axiom,
class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_58) ).
fof(f1458,plain,
spl0_18,
inference(avatar_split_clause,[],[f441,f1455]) ).
fof(f1455,plain,
( spl0_18
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f441,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_7) ).
fof(f1453,plain,
spl0_17,
inference(avatar_split_clause,[],[f392,f1450]) ).
fof(f1450,plain,
( spl0_17
<=> class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f392,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Product____Type__Ounit_0) ).
fof(f1448,plain,
spl0_16,
inference(avatar_split_clause,[],[f365,f1445]) ).
fof(f1445,plain,
( spl0_16
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f365,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_43) ).
fof(f1443,plain,
spl0_15,
inference(avatar_split_clause,[],[f442,f1440]) ).
fof(f1440,plain,
( spl0_15
<=> class_Wellfounded__Recursion_Owellorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f442,axiom,
class_Wellfounded__Recursion_Owellorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_8) ).
fof(f1438,plain,
spl0_14,
inference(avatar_split_clause,[],[f430,f1435]) ).
fof(f1435,plain,
( spl0_14
<=> class_LOrder_Omeet__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f430,axiom,
class_LOrder_Omeet__semilorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_4) ).
fof(f1433,plain,
spl0_13,
inference(avatar_split_clause,[],[f368,f1430]) ).
fof(f1430,plain,
( spl0_13
<=> class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f368,axiom,
class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_46) ).
fof(f1428,plain,
spl0_12,
inference(avatar_split_clause,[],[f355,f1425]) ).
fof(f1425,plain,
( spl0_12
<=> class_LOrder_Olorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f355,axiom,
class_LOrder_Olorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_34) ).
fof(f1423,plain,
spl0_11,
inference(avatar_split_clause,[],[f423,f1420]) ).
fof(f1420,plain,
( spl0_11
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f423,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_33) ).
fof(f1418,plain,
spl0_10,
inference(avatar_split_clause,[],[f113,f1415]) ).
fof(f1415,plain,
( spl0_10
<=> c_less(c_0,c_Suc(c_0),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f113,axiom,
c_less(c_0,c_Suc(c_0),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__Suc0__iff2_0) ).
fof(f1413,plain,
spl0_9,
inference(avatar_split_clause,[],[f376,f1410]) ).
fof(f1410,plain,
( spl0_9
<=> class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f376,axiom,
class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_53) ).
fof(f1408,plain,
spl0_8,
inference(avatar_split_clause,[],[f1366,f1405]) ).
fof(f1366,axiom,
c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1403,plain,
spl0_7,
inference(avatar_split_clause,[],[f379,f1400]) ).
fof(f1400,plain,
( spl0_7
<=> class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f379,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_56) ).
fof(f1398,plain,
~ spl0_6,
inference(avatar_split_clause,[],[f30,f1395]) ).
fof(f30,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__2__iff1_0) ).
fof(f1393,plain,
spl0_5,
inference(avatar_split_clause,[],[f364,f1390]) ).
fof(f1390,plain,
( spl0_5
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f364,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_42) ).
fof(f1388,plain,
spl0_4,
inference(avatar_split_clause,[],[f366,f1385]) ).
fof(f1385,plain,
( spl0_4
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f366,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_44) ).
fof(f1383,plain,
spl0_3,
inference(avatar_split_clause,[],[f363,f1380]) ).
fof(f1380,plain,
( spl0_3
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f363,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_41) ).
fof(f1378,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f121,f1375]) ).
fof(f121,axiom,
c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__1__iff1_0) ).
fof(f1373,plain,
spl0_1,
inference(avatar_split_clause,[],[f359,f1370]) ).
fof(f1370,plain,
( spl0_1
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f359,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_38) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET858-1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:38:14 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.58 % (31356)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.58 % (31348)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.59 % (31341)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.60 % (31339)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.61 % (31341)Instruction limit reached!
% 0.20/0.61 % (31341)------------------------------
% 0.20/0.61 % (31341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61 % (31341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61 % (31338)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.61 % (31341)Termination reason: Unknown
% 0.20/0.61 % (31341)Termination phase: Saturation
% 0.20/0.61
% 0.20/0.61 % (31341)Memory used [KB]: 6652
% 0.20/0.61 % (31341)Time elapsed: 0.014 s
% 0.20/0.61 % (31341)Instructions burned: 7 (million)
% 0.20/0.61 % (31341)------------------------------
% 0.20/0.61 % (31341)------------------------------
% 0.20/0.62 % (31351)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.62 % (31362)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.62 % (31340)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.67/0.63 % (31354)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.67/0.63 % (31359)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.67/0.64 % (31346)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.07/0.65 % (31334)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 2.07/0.65 % (31358)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.07/0.65 % (31357)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 2.07/0.65 % (31337)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.07/0.65 % (31336)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 2.07/0.65 % (31342)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.07/0.65 % (31342)Instruction limit reached!
% 2.07/0.65 % (31342)------------------------------
% 2.07/0.65 % (31342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.65 % (31342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.65 % (31342)Termination reason: Unknown
% 2.07/0.65 % (31342)Termination phase: shuffling
% 2.07/0.65
% 2.07/0.65 % (31342)Memory used [KB]: 1791
% 2.07/0.65 % (31342)Time elapsed: 0.004 s
% 2.07/0.65 % (31342)Instructions burned: 2 (million)
% 2.07/0.65 % (31342)------------------------------
% 2.07/0.65 % (31342)------------------------------
% 2.07/0.65 % (31335)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.17/0.66 % (31350)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.17/0.66 % (31352)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.17/0.67 % (31344)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.17/0.67 % (31345)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.17/0.67 % (31347)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.17/0.68 % (31363)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 2.17/0.68 % (31361)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 2.17/0.68 % (31360)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 2.17/0.68 % (31349)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 2.17/0.68 % (31355)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.17/0.69 % (31343)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.17/0.69 % (31348)Instruction limit reached!
% 2.17/0.69 % (31348)------------------------------
% 2.17/0.69 % (31348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.69 % (31348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.69 % (31348)Termination reason: Unknown
% 2.17/0.69 % (31348)Termination phase: Saturation
% 2.17/0.69
% 2.17/0.69 % (31348)Memory used [KB]: 8187
% 2.17/0.69 % (31348)Time elapsed: 0.084 s
% 2.17/0.69 % (31348)Instructions burned: 68 (million)
% 2.17/0.69 % (31348)------------------------------
% 2.17/0.69 % (31348)------------------------------
% 2.17/0.70 % (31353)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.58/0.74 % (31339)Instruction limit reached!
% 2.58/0.74 % (31339)------------------------------
% 2.58/0.74 % (31339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.74 % (31339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.74 % (31339)Termination reason: Unknown
% 2.58/0.74 % (31339)Termination phase: Saturation
% 2.58/0.74
% 2.58/0.74 % (31339)Memory used [KB]: 7036
% 2.58/0.74 % (31339)Time elapsed: 0.287 s
% 2.58/0.74 % (31339)Instructions burned: 48 (million)
% 2.58/0.74 % (31339)------------------------------
% 2.58/0.74 % (31339)------------------------------
% 2.58/0.74 % (31336)Instruction limit reached!
% 2.58/0.74 % (31336)------------------------------
% 2.58/0.74 % (31336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.74 % (31336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.74 % (31336)Termination reason: Unknown
% 2.58/0.74 % (31336)Termination phase: Saturation
% 2.58/0.74
% 2.58/0.74 % (31336)Memory used [KB]: 2430
% 2.58/0.74 % (31336)Time elapsed: 0.261 s
% 2.58/0.74 % (31336)Instructions burned: 38 (million)
% 2.58/0.74 % (31336)------------------------------
% 2.58/0.74 % (31336)------------------------------
% 2.79/0.75 % (31340)Instruction limit reached!
% 2.79/0.75 % (31340)------------------------------
% 2.79/0.75 % (31340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.79/0.75 % (31340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.79/0.75 % (31340)Termination reason: Unknown
% 2.79/0.75 % (31340)Termination phase: Finite model building preprocessing
% 2.79/0.75
% 2.79/0.75 % (31340)Memory used [KB]: 2942
% 2.79/0.75 % (31340)Time elapsed: 0.038 s
% 2.79/0.75 % (31340)Instructions burned: 51 (million)
% 2.79/0.75 % (31340)------------------------------
% 2.79/0.75 % (31340)------------------------------
% 2.79/0.76 % (31351)Instruction limit reached!
% 2.79/0.76 % (31351)------------------------------
% 2.79/0.76 % (31351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.79/0.76 % (31351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.79/0.76 % (31351)Termination reason: Unknown
% 2.79/0.76 % (31351)Termination phase: Finite model building preprocessing
% 2.79/0.76
% 2.79/0.76 % (31351)Memory used [KB]: 3070
% 2.79/0.76 % (31351)Time elapsed: 0.042 s
% 2.79/0.76 % (31351)Instructions burned: 59 (million)
% 2.79/0.76 % (31351)------------------------------
% 2.79/0.76 % (31351)------------------------------
% 2.79/0.76 % (31338)Instruction limit reached!
% 2.79/0.76 % (31338)------------------------------
% 2.79/0.76 % (31338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.79/0.76 % (31338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.79/0.76 % (31338)Termination reason: Unknown
% 2.79/0.76 % (31338)Termination phase: Saturation
% 2.79/0.76
% 2.79/0.76 % (31338)Memory used [KB]: 7164
% 2.79/0.76 % (31338)Time elapsed: 0.272 s
% 2.79/0.76 % (31338)Instructions burned: 51 (million)
% 2.79/0.76 % (31338)------------------------------
% 2.79/0.76 % (31338)------------------------------
% 2.79/0.79 % (31337)Instruction limit reached!
% 2.79/0.79 % (31337)------------------------------
% 2.79/0.79 % (31337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.79/0.80 % (31337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.79/0.80 % (31337)Termination reason: Unknown
% 2.79/0.80 % (31337)Termination phase: Saturation
% 2.79/0.80
% 2.79/0.80 % (31337)Memory used [KB]: 7291
% 2.79/0.80 % (31337)Time elapsed: 0.312 s
% 2.79/0.80 % (31337)Instructions burned: 51 (million)
% 2.79/0.80 % (31337)------------------------------
% 2.79/0.80 % (31337)------------------------------
% 2.79/0.82 % (31335)Instruction limit reached!
% 2.79/0.82 % (31335)------------------------------
% 2.79/0.82 % (31335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.79/0.82 % (31335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.79/0.82 % (31335)Termination reason: Unknown
% 2.79/0.82 % (31335)Termination phase: Saturation
% 2.79/0.82
% 2.79/0.82 % (31335)Memory used [KB]: 7419
% 2.79/0.82 % (31335)Time elapsed: 0.362 s
% 2.79/0.82 % (31335)Instructions burned: 50 (million)
% 2.79/0.82 % (31335)------------------------------
% 2.79/0.82 % (31335)------------------------------
% 2.79/0.82 % (31344)Instruction limit reached!
% 2.79/0.82 % (31344)------------------------------
% 2.79/0.82 % (31344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.79/0.82 % (31344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.79/0.82 % (31344)Termination reason: Unknown
% 2.79/0.82 % (31344)Termination phase: Saturation
% 2.79/0.82
% 2.79/0.82 % (31344)Memory used [KB]: 7419
% 2.79/0.82 % (31344)Time elapsed: 0.366 s
% 2.79/0.82 % (31344)Instructions burned: 50 (million)
% 2.79/0.83 % (31344)------------------------------
% 2.79/0.83 % (31344)------------------------------
% 2.79/0.83 % (31399)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.36/0.85 % (31396)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 3.36/0.86 % (31343)Instruction limit reached!
% 3.36/0.86 % (31343)------------------------------
% 3.36/0.86 % (31343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.36/0.86 % (31343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.36/0.86 % (31343)Termination reason: Unknown
% 3.36/0.86 % (31343)Termination phase: Saturation
% 3.36/0.86
% 3.36/0.86 % (31343)Memory used [KB]: 3198
% 3.36/0.86 % (31343)Time elapsed: 0.393 s
% 3.36/0.86 % (31343)Instructions burned: 52 (million)
% 3.36/0.86 % (31343)------------------------------
% 3.36/0.86 % (31343)------------------------------
% 3.36/0.88 % (31360)Instruction limit reached!
% 3.36/0.88 % (31360)------------------------------
% 3.36/0.88 % (31360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.36/0.88 % (31360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.36/0.88 % (31360)Termination reason: Unknown
% 3.36/0.88 % (31360)Termination phase: Saturation
% 3.36/0.88
% 3.36/0.88 % (31360)Memory used [KB]: 8187
% 3.36/0.88 % (31360)Time elapsed: 0.061 s
% 3.36/0.88 % (31360)Instructions burned: 68 (million)
% 3.36/0.88 % (31360)------------------------------
% 3.36/0.88 % (31360)------------------------------
% 3.61/0.89 % (31349)Instruction limit reached!
% 3.61/0.89 % (31349)------------------------------
% 3.61/0.89 % (31349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.61/0.89 % (31349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.61/0.89 % (31349)Termination reason: Unknown
% 3.61/0.89 % (31349)Termination phase: Saturation
% 3.61/0.89
% 3.61/0.89 % (31349)Memory used [KB]: 3198
% 3.61/0.89 % (31349)Time elapsed: 0.411 s
% 3.61/0.89 % (31349)Instructions burned: 75 (million)
% 3.61/0.89 % (31349)------------------------------
% 3.61/0.89 % (31349)------------------------------
% 3.61/0.90 % (31397)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 3.61/0.92 % (31346)Instruction limit reached!
% 3.61/0.92 % (31346)------------------------------
% 3.61/0.92 % (31346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.61/0.92 % (31346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.61/0.92 % (31346)Termination reason: Unknown
% 3.61/0.92 % (31346)Termination phase: Saturation
% 3.61/0.92
% 3.61/0.92 % (31346)Memory used [KB]: 8059
% 3.61/0.92 % (31346)Time elapsed: 0.466 s
% 3.61/0.92 % (31346)Instructions burned: 101 (million)
% 3.61/0.92 % (31346)------------------------------
% 3.61/0.92 % (31346)------------------------------
% 3.61/0.92 TRYING [1]
% 3.89/0.94 % (31347)Instruction limit reached!
% 3.89/0.94 % (31347)------------------------------
% 3.89/0.94 % (31347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.89/0.94 % (31347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.89/0.94 % (31347)Termination reason: Unknown
% 3.89/0.94 % (31347)Termination phase: Saturation
% 3.89/0.94
% 3.89/0.94 % (31347)Memory used [KB]: 7803
% 3.89/0.94 % (31347)Time elapsed: 0.468 s
% 3.89/0.94 % (31347)Instructions burned: 99 (million)
% 3.89/0.94 % (31347)------------------------------
% 3.89/0.94 % (31347)------------------------------
% 3.89/0.95 % (31350)Instruction limit reached!
% 3.89/0.95 % (31350)------------------------------
% 3.89/0.95 % (31350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.89/0.95 % (31350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.89/0.95 % (31350)Termination reason: Unknown
% 3.89/0.95 % (31350)Termination phase: Saturation
% 3.89/0.95
% 3.89/0.95 % (31350)Memory used [KB]: 7675
% 3.89/0.95 % (31350)Time elapsed: 0.446 s
% 3.89/0.95 % (31350)Instructions burned: 100 (million)
% 3.89/0.95 % (31350)------------------------------
% 3.89/0.95 % (31350)------------------------------
% 3.89/0.95 % (31399)Instruction limit reached!
% 3.89/0.95 % (31399)------------------------------
% 3.89/0.95 % (31399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.89/0.95 % (31399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.89/0.95 % (31399)Termination reason: Unknown
% 3.89/0.95 % (31399)Termination phase: Saturation
% 3.89/0.95
% 3.89/0.95 % (31399)Memory used [KB]: 7803
% 3.89/0.95 % (31399)Time elapsed: 0.124 s
% 3.89/0.95 % (31399)Instructions burned: 90 (million)
% 3.89/0.95 % (31399)------------------------------
% 3.89/0.95 % (31399)------------------------------
% 3.89/0.95 % (31345)Instruction limit reached!
% 3.89/0.95 % (31345)------------------------------
% 3.89/0.95 % (31345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.89/0.95 % (31345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.89/0.95 % (31345)Termination reason: Unknown
% 3.89/0.95 % (31345)Termination phase: Saturation
% 3.89/0.95
% 3.89/0.95 % (31345)Memory used [KB]: 8187
% 3.89/0.95 % (31345)Time elapsed: 0.496 s
% 3.89/0.95 % (31345)Instructions burned: 100 (million)
% 3.89/0.95 % (31345)------------------------------
% 3.89/0.95 % (31345)------------------------------
% 3.89/0.96 % (31353)Instruction limit reached!
% 3.89/0.96 % (31353)------------------------------
% 3.89/0.96 % (31353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.89/0.96 % (31353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.89/0.96 % (31353)Termination reason: Unknown
% 3.89/0.96 % (31353)Termination phase: Saturation
% 3.89/0.96
% 3.89/0.96 % (31353)Memory used [KB]: 2814
% 3.89/0.96 % (31353)Time elapsed: 0.476 s
% 3.89/0.96 % (31353)Instructions burned: 101 (million)
% 3.89/0.96 % (31353)------------------------------
% 3.89/0.96 % (31353)------------------------------
% 4.11/0.97 TRYING [2]
% 4.11/0.97 % (31352)Instruction limit reached!
% 4.11/0.97 % (31352)------------------------------
% 4.11/0.97 % (31352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.11/0.97 % (31352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.11/0.97 % (31352)Termination reason: Unknown
% 4.11/0.97 % (31352)Termination phase: Saturation
% 4.11/0.97
% 4.11/0.97 % (31352)Memory used [KB]: 8187
% 4.11/0.97 % (31352)Time elapsed: 0.506 s
% 4.11/0.97 % (31352)Instructions burned: 100 (million)
% 4.11/0.97 % (31352)------------------------------
% 4.11/0.97 % (31352)------------------------------
% 4.11/0.98 % (31401)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 4.11/1.00 % (31404)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/747Mi)
% 4.11/1.00 % (31403)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 4.11/1.00 % (31406)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 4.11/1.01 % (31405)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/655Mi)
% 4.25/1.03 % (31356)Instruction limit reached!
% 4.25/1.03 % (31356)------------------------------
% 4.25/1.03 % (31356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.25/1.03 % (31356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.25/1.03 % (31356)Termination reason: Unknown
% 4.25/1.03 % (31356)Termination phase: Saturation
% 4.25/1.03
% 4.25/1.03 % (31356)Memory used [KB]: 18933
% 4.25/1.03 % (31356)Time elapsed: 0.510 s
% 4.25/1.03 % (31356)Instructions burned: 499 (million)
% 4.25/1.03 % (31356)------------------------------
% 4.25/1.03 % (31356)------------------------------
% 4.25/1.04 % (31408)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/940Mi)
% 4.25/1.04 % (31410)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 4.39/1.05 % (31428)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/68Mi)
% 4.39/1.07 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 4.39/1.07 % (31409)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/981Mi)
% 4.39/1.07 % (31355)Instruction limit reached!
% 4.39/1.07 % (31355)------------------------------
% 4.39/1.07 % (31355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.39/1.07 % (31355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.39/1.07 % (31355)Termination reason: Unknown
% 4.39/1.07 % (31355)Termination phase: Saturation
% 4.39/1.07
% 4.39/1.07 % (31355)Memory used [KB]: 8955
% 4.39/1.07 % (31355)Time elapsed: 0.614 s
% 4.39/1.07 % (31355)Instructions burned: 138 (million)
% 4.39/1.07 % (31355)------------------------------
% 4.39/1.07 % (31355)------------------------------
% 4.39/1.08 % (31414)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 4.39/1.10 % (31354)Instruction limit reached!
% 4.39/1.10 % (31354)------------------------------
% 4.39/1.10 % (31354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.39/1.10 % (31354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.39/1.10 % (31354)Termination reason: Unknown
% 4.39/1.10 % (31354)Termination phase: Saturation
% 4.39/1.10
% 4.39/1.10 % (31354)Memory used [KB]: 8571
% 4.39/1.10 % (31354)Time elapsed: 0.632 s
% 4.39/1.10 % (31354)Instructions burned: 176 (million)
% 4.39/1.10 % (31354)------------------------------
% 4.39/1.10 % (31354)------------------------------
% 4.39/1.10 % (31428)Instruction limit reached!
% 4.39/1.10 % (31428)------------------------------
% 4.39/1.10 % (31428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.39/1.10 % (31428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.39/1.10 % (31428)Termination reason: Unknown
% 4.39/1.10 % (31428)Termination phase: Saturation
% 4.39/1.10
% 4.39/1.10 % (31428)Memory used [KB]: 8187
% 4.39/1.10 % (31428)Time elapsed: 0.050 s
% 4.39/1.10 % (31428)Instructions burned: 69 (million)
% 4.39/1.10 % (31428)------------------------------
% 4.39/1.10 % (31428)------------------------------
% 4.39/1.11 % (31422)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4958Mi)
% 4.39/1.13 % (31419)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/3735Mi)
% 4.39/1.16 % (31438)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/8004Mi)
% 4.39/1.16 % (31424)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4959Mi)
% 4.39/1.17 % (31427)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4931Mi)
% 4.39/1.18 % (31406)Instruction limit reached!
% 4.39/1.18 % (31406)------------------------------
% 4.39/1.18 % (31406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.39/1.18 % (31406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.39/1.18 % (31406)Termination reason: Unknown
% 4.39/1.18 % (31406)Termination phase: Saturation
% 4.39/1.18
% 4.39/1.18 % (31406)Memory used [KB]: 8187
% 4.39/1.18 % (31406)Time elapsed: 0.056 s
% 4.39/1.18 % (31406)Instructions burned: 68 (million)
% 4.39/1.18 % (31406)------------------------------
% 4.39/1.18 % (31406)------------------------------
% 4.39/1.18 % (31426)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4756Mi)
% 6.17/1.20 % (31361)Instruction limit reached!
% 6.17/1.20 % (31361)------------------------------
% 6.17/1.20 % (31361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.17/1.20 % (31361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.17/1.20 % (31361)Termination reason: Unknown
% 6.17/1.20 % (31361)Termination phase: Saturation
% 6.17/1.20
% 6.17/1.20 % (31361)Memory used [KB]: 4733
% 6.17/1.20 % (31361)Time elapsed: 0.724 s
% 6.17/1.20 % (31361)Instructions burned: 178 (million)
% 6.17/1.20 % (31361)------------------------------
% 6.17/1.20 % (31361)------------------------------
% 6.17/1.20 % (31429)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1824Mi)
% 6.17/1.20 % (31430)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2134Mi)
% 6.70/1.25 % (31431)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2891Mi)
% 6.70/1.29 % (31410)Instruction limit reached!
% 6.70/1.29 % (31410)------------------------------
% 6.70/1.29 % (31410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.70/1.29 % (31410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.70/1.29 % (31410)Termination reason: Unknown
% 6.70/1.29 % (31410)Termination phase: Saturation
% 6.70/1.29
% 6.70/1.29 % (31410)Memory used [KB]: 7803
% 6.70/1.29 % (31410)Time elapsed: 0.410 s
% 6.70/1.29 % (31410)Instructions burned: 91 (million)
% 6.70/1.29 % (31410)------------------------------
% 6.70/1.29 % (31410)------------------------------
% 7.16/1.32 % (31436)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/90Mi)
% 7.16/1.34 % (31435)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/4585Mi)
% 7.16/1.35 % (31437)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/2016Mi)
% 7.91/1.42 % (31443)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9965Mi)
% 8.13/1.45 % (31445)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9877Mi)
% 8.13/1.51 % (31436)Instruction limit reached!
% 8.13/1.51 % (31436)------------------------------
% 8.13/1.51 % (31436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.13/1.51 % (31436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.13/1.51 % (31436)Termination reason: Unknown
% 8.13/1.51 % (31436)Termination phase: Saturation
% 8.13/1.51
% 8.13/1.51 % (31436)Memory used [KB]: 7036
% 8.13/1.51 % (31436)Time elapsed: 0.400 s
% 8.13/1.51 % (31436)Instructions burned: 90 (million)
% 8.13/1.51 % (31436)------------------------------
% 8.13/1.51 % (31436)------------------------------
% 8.86/1.55 % (31447)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9902Mi)
% 8.86/1.58 % (31397)Instruction limit reached!
% 8.86/1.58 % (31397)------------------------------
% 8.86/1.58 % (31397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.86/1.58 % (31397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.86/1.58 % (31397)Termination reason: Unknown
% 8.86/1.58 % (31397)Termination phase: Saturation
% 8.86/1.58
% 8.86/1.58 % (31397)Memory used [KB]: 6268
% 8.86/1.58 % (31397)Time elapsed: 0.847 s
% 8.86/1.58 % (31397)Instructions burned: 212 (million)
% 8.86/1.58 % (31397)------------------------------
% 8.86/1.58 % (31397)------------------------------
% 8.86/1.59 % (31363)Instruction limit reached!
% 8.86/1.59 % (31363)------------------------------
% 8.86/1.59 % (31363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.86/1.59 % (31363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.86/1.59 % (31363)Termination reason: Unknown
% 8.86/1.59 % (31363)Termination phase: Saturation
% 8.86/1.59
% 8.86/1.59 % (31363)Memory used [KB]: 10874
% 8.86/1.59 % (31363)Time elapsed: 1.124 s
% 8.86/1.59 % (31363)Instructions burned: 356 (million)
% 8.86/1.59 % (31363)------------------------------
% 8.86/1.59 % (31363)------------------------------
% 9.32/1.64 % (31357)Instruction limit reached!
% 9.32/1.64 % (31357)------------------------------
% 9.32/1.64 % (31357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.32/1.64 % (31357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.32/1.64 % (31357)Termination reason: Unknown
% 9.32/1.64 % (31357)Termination phase: Saturation
% 9.32/1.64
% 9.32/1.64 % (31357)Memory used [KB]: 11385
% 9.32/1.64 % (31357)Time elapsed: 1.118 s
% 9.32/1.64 % (31357)Instructions burned: 468 (million)
% 9.32/1.64 % (31357)------------------------------
% 9.32/1.64 % (31357)------------------------------
% 9.32/1.64 % (31429)First to succeed.
% 9.78/1.66 % (31429)Refutation found. Thanks to Tanya!
% 9.78/1.66 % SZS status Unsatisfiable for theBenchmark
% 9.78/1.66 % SZS output start Proof for theBenchmark
% See solution above
% 9.78/1.67 % (31429)------------------------------
% 9.78/1.67 % (31429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.78/1.67 % (31429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.78/1.67 % (31429)Termination reason: Refutation
% 9.78/1.67
% 9.78/1.67 % (31429)Memory used [KB]: 3198
% 9.78/1.67 % (31429)Time elapsed: 0.616 s
% 9.78/1.67 % (31429)Instructions burned: 207 (million)
% 9.78/1.67 % (31429)------------------------------
% 9.78/1.67 % (31429)------------------------------
% 9.78/1.67 % (31333)Success in time 1.307 s
%------------------------------------------------------------------------------